IJPAM: Volume 85, No. 3 (2013)

COUNTING NUMBER OF FUZZY SUBGROUPS
OF SOME OF DIHEDRAL GROUPS

H. Darabi1, M. Imanparast2
1Department of Mathematics
Islamic Azad University
Mashhad Branch, Mashhad, IRAN
2Department of Computer Science
University of Bojnord
Bojnord, IRAN


Abstract. In this paper, we compute number of fuzzy subgroups of some dihedral groups such as D{sub}2pn where p is a prime number and D2p1 x p2 x ... x pn where p1,p2,...,pn are distinct prime numbers. We use their chain diagram to determine the number of their fuzzy subgroups and present an explicit recursive formula to D_{2p^n} and at the result in specially case D2n and finally a formula to count number of fuzzy subgroups of dihedral group D2p1 x p2 x ... x pn.

Received: February 11, 2013

AMS Subject Classification: 03E72, 06D72, 20N25

Key Words and Phrases: fuzzy groups, lattice, dihedral groups, chain

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DOI: 10.12732/ijpam.v85i3.11 How to cite this paper?
Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 85
Issue: 3